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We consider information-theoretic bounds on expected generalization error for statistical learning problems in a networked setting. In this setting, there are $K$ nodes, each with its own independent dataset, and the models from each node…

信息论 · 计算机科学 2024-01-17 L. P. Barnes , Alex Dytso , H. V. Poor

We provide a new information-theoretic generalization error bound that is exactly tight (i.e., matching even the constant) for the canonical quadratic Gaussian (location) problem. Most existing bounds are order-wise loose in this setting,…

信息论 · 计算机科学 2023-11-14 Ruida Zhou , Chao Tian , Tie Liu

An open scientific challenge is how to classify events with reliable measures of uncertainty, when we have a mechanistic model of the data-generating process but the distribution over both labels and latent nuisance parameters is different…

机器学习 · 统计学 2024-07-02 Luca Masserano , Alex Shen , Michele Doro , Tommaso Dorigo , Rafael Izbicki , Ann B. Lee

An interesting phenomenon arises: Empirical Risk Minimization (ERM) sometimes outperforms methods specifically designed for out-of-distribution tasks. This motivates an investigation into the reasons behind such behavior beyond algorithmic…

机器学习 · 计算机科学 2026-01-21 Hong Zheng , Fei Teng

Since the establishment of vision-language foundation models as the new mainstay in low-shot vision classification tasks, the question of domain generalization arising from insufficient target data is assuming more importance. This scarcity…

计算机视觉与模式识别 · 计算机科学 2025-04-09 Behraj Khan , Rizwan Qureshi , Nouman Muhammad Durrani , Tahir Syed

Generalization error bounds are critical to understanding the performance of machine learning models. In this work, we propose a new information-theoretic based generalization error upper bound applicable to supervised learning scenarios.…

信息论 · 计算机科学 2021-01-11 Gholamali Aminian , Laura Toni , Miguel R. D. Rodrigues

The following problem is considered: given a joint distribution $P_{XY}$ and an event $E$, bound $P_{XY}(E)$ in terms of $P_XP_Y(E)$ (where $P_XP_Y$ is the product of the marginals of $P_{XY}$) and a measure of dependence of $X$ and $Y$.…

信息论 · 计算机科学 2019-03-12 Ibrahim Issa , Amedeo Roberto Esposito , Michael Gastpar

Classifiers trained solely on labeled source data may yield misleading results when applied to unlabeled target data drawn from a different distribution. Transfer learning can rectify this by transferring knowledge from source to target…

统计理论 · 数学 2025-02-19 Junjun Lang , Yukun Liu

Generalizing treatment effects from a randomized trial to a target population requires the assumption that potential outcome distributions are invariant across populations after conditioning on observed covariates. This assumption fails…

统计方法学 · 统计学 2026-04-16 Amir Asiaee , Samhita Pal , Cole Beck , Jared D. Huling

Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

统计方法学 · 统计学 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

Safely deploying machine learning models to the real world is often a challenging process. Models trained with data obtained from a specific geographic location tend to fail when queried with data obtained elsewhere, agents trained in a…

机器学习 · 计算机科学 2021-11-02 Marco Federici , Ryota Tomioka , Patrick Forré

Many algorithms have been recently proposed for causal machine learning. Yet, there is little to no theory on their quality, especially considering finite samples. In this work, we propose a theory based on generalization bounds that…

机器学习 · 统计学 2024-05-16 Daniel Csillag , Claudio José Struchiner , Guilherme Tegoni Goedert

Training models that perform well under distribution shifts is a central challenge in machine learning. In this paper, we introduce a modeling framework where, in addition to training data, we have partial structural knowledge of the…

机器学习 · 计算机科学 2021-10-28 Tobias Sutter , Andreas Krause , Daniel Kuhn

Distribution shift is an important concern in deep image classification, produced either by corruption of the source images, or a complete change, with the solution involving domain adaptation. While the primary goal is to improve accuracy…

机器学习 · 统计学 2021-10-19 Tiago Salvador , Vikram Voleti , Alexander Iannantuono , Adam Oberman

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

统计方法学 · 统计学 2021-09-01 Ciaran Evans , Max G'Sell

The phenomenon of distribution shift (DS) occurs when a dataset at test time differs from the dataset at training time, which can significantly impair the performance of a machine learning model in practical settings due to a lack of…

In the face of dataset shift, model calibration plays a pivotal role in ensuring the reliability of machine learning systems. Calibration error (CE) is an indicator of the alignment between the predicted probabilities and the classifier…

机器学习 · 计算机科学 2023-12-15 Teodora Popordanoska , Gorjan Radevski , Tinne Tuytelaars , Matthew B. Blaschko

We propose Regularized Learning under Label shifts (RLLS), a principled and a practical domain-adaptation algorithm to correct for shifts in the label distribution between a source and a target domain. We first estimate importance weights…

机器学习 · 计算机科学 2020-08-10 Kamyar Azizzadenesheli , Anqi Liu , Fanny Yang , Animashree Anandkumar

We use information-theoretic tools to derive a novel analysis of Multi-source Domain Adaptation (MDA) from the representation learning perspective. Concretely, we study joint distribution alignment for supervised MDA with few target labels…

机器学习 · 计算机科学 2023-04-06 Qi Chen , Mario Marchand

The density ratio is an important metric for evaluating the relative likelihood of two probability distributions, with extensive applications in statistics and machine learning. However, existing estimation theories for density ratios often…

机器学习 · 统计学 2025-04-03 Shuntuo Xu , Zhou Yu , Jian Huang